论文标题
通过加权吹以算法分辨率
Algorithmic resolution via weighted blowings up
论文作者
论文摘要
在本文中，我们描述了Abramovich，Temkin和Wlodarczyk的算法的计算机实现，以解决特征零的奇异性。他们的“加权分辨率”算法通过反复沿着与过去的历史吹来的中心反复爆炸，从而将加权分辨率与以前的分辨率算法区分开来，这些算法都依赖于历史。我们将加权分辨率的实施与Villamayor的分辨率算法进行了比较，从实验验证加权分辨率非常有效。
In this paper we describe a computer implementation of Abramovich, Temkin, and Wlodarczyk's algorithm for resolving singularities in characteristic zero. Their "weighted resolution" algorithm proceeds by repeatedly blowing up along centers that are independent of the history of the past blowing ups, distinguishing weighted resolution from previous resolution algorithms, which all rely on history. We compare our implementation of weighted resolution with that of Villamayor's resolution algorithm, experimentally verifying that weighted resolution is remarkably efficient.
